Fractional Step Runge-Kutta methods for time dependent coefficient parabolic problems

A class of efficient and robust methods which includes the classical spitting methods, alternating direction schemes and fractional step Runge-Kutta methods used to discretize efficiently some linear parabolic problems is studied. The coefficients of these parabolic problems depend on time. Such ana...

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Detalles Bibliográficos
Autores: Bujanda, B. [0000-0001-7867-8805], Jorge, J.C. [0000-0001-5906-6125]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6820b750603269e8030b
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6820b750603269e8030b
Access Level:acceso abierto
Palabra clave:Additive Runge-Kutta
Fractional Step Runge-Kutta
Uniform convergence
Descripción
Sumario:A class of efficient and robust methods which includes the classical spitting methods, alternating direction schemes and fractional step Runge-Kutta methods used to discretize efficiently some linear parabolic problems is studied. The coefficients of these parabolic problems depend on time. Such analysis was performed by suitably decomposing the contribution to the global error of this time integration procedure and the contribution of some standard spatial discretization methods.